Preprint
Functions satisfying holonomic q-differential equations
Zusammenfassung
In a similar manner as in some previous papers, where explicit algorithms for finding the differential equations satisfied by holonomic functions were given, in this paper we deal with the space of the q-holonomic functions which are the solutions of linear q-differential equations with polynomial coefficients. The sum, product and the composition with power functions of q-holonomic functions are also q-holonomic and the resulting q-differential equations can be computed algorithmically.
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@article{urn:nbn:de:hebis:34-2007052118241,
author={Koepf, Wolfram and Rajković, Predrag M. and Marinković, Sladjana D.},
title={Functions satisfying holonomic q-differential equations},
year={2007}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2007$n2007 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2007052118241 3000 Koepf, Wolfram 3010 Rajković, Predrag M. 3010 Marinković, Sladjana D. 4000 Functions satisfying holonomic q-differential equations / Koepf, Wolfram 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2007052118241=x R 4204 \$dPreprint 4170 7136 ##0##urn:nbn:de:hebis:34-2007052118241
2007-05-21T09:15:17Z 2007-05-21T09:15:17Z 2007-05-21T09:15:17Z urn:nbn:de:hebis:34-2007052118241 http://hdl.handle.net/123456789/2007052118241 125309 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ q-derivative q-differential equation algorithm algebra of q-holonomic funcitions 510 Functions satisfying holonomic q-differential equations Preprint In a similar manner as in some previous papers, where explicit algorithms for finding the differential equations satisfied by holonomic functions were given, in this paper we deal with the space of the q-holonomic functions which are the solutions of linear q-differential equations with polynomial coefficients. The sum, product and the composition with power functions of q-holonomic functions are also q-holonomic and the resulting q-differential equations can be computed algorithmically. open access Koepf, Wolfram Rajković, Predrag M. Marinković, Sladjana D. 39A13 33D15
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